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The Resource Additive number theory : festschrift in honor of the sixtieth birthday of Melvyn B. Nathanson, edited by David Chudnovsky, Gregory Chudnovsky

Additive number theory : festschrift in honor of the sixtieth birthday of Melvyn B. Nathanson, edited by David Chudnovsky, Gregory Chudnovsky

Contributor
Summary
This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. Nathanson's numerous results have been widely published in top notch journals and in a number of excellent graduate textbooks (GTM Springer) and reference works. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research
Language
eng
Work
Publication
Extent
1 online resource
Contents
  • .-Preface
  • Sum-product theorems and applications (Bourgain).-Can you hear the shape of a Beatty sequence? (Graham, O'Bryant).-Variance of signals and their finite Fourier transforms (Chudnovsky, Chudnovsky, Morgan).-Sparse sets in time and frequency related to diophantine problems and integrable systems (Chudnovsky, Chudnovsky, Morgan).-Addition theorems in acyclic semigroups (Cilleruelo, Hamidoune, Serra).-Small sumsets in free products of Z/2Z (Eliahou, Lecouvey).-A combinatorial approach to sums of two squares and related problems (Elsholtz).-A note on Elkin's improvement of Behrend's construction (Green, Wolf).-The postage stamp problem and essential subsets in integer bases (Hegarty).-A universal Stein-Tomas restriction estimate for measures in three dimensions (Iosevich, Roudenko).-The Erdos-Turán problem in infinite groups (Konyagin, Lev).-A tiling problem and the Frobenius number (Labrousse, Ramírez Alfonsín)
  • Sumsets and the convex hull (Matolcsi, Ruzsa)
  • Explicit constructions of infinite families of MSTD sets (Miller, Scheinerman).-Asymptotics of weighted lattice point counts inside dilating polygons (Nechayeva, Randol)
  • Support bases of solutions of a functional equation arising from multiplication of quantum integers and the twin primes conjecture (Nguyen)
  • Exponential sums and distinct points on arcs (Rødseth)
  • New Vacca-type rational series for Euler's constant g and its "alternating" analog ln 4/p (Sondow)
  • Mixed sums of primes and other terms (Sun)
  • Classes of permutation polynomials based on cyclotomy and an additive analogue (Zieve)
Isbn
9781489981462
Instance
Label
Additive number theory : festschrift in honor of the sixtieth birthday of Melvyn B. Nathanson
Title
Additive number theory
Title remainder
festschrift in honor of the sixtieth birthday of Melvyn B. Nathanson
Statement of responsibility
edited by David Chudnovsky, Gregory Chudnovsky
Contributor
Subject
Language
eng
Summary
This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. Nathanson's numerous results have been widely published in top notch journals and in a number of excellent graduate textbooks (GTM Springer) and reference works. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research
Cataloging source
GW5XE
Dewey number
512.7
Index
no index present
Language note
English
LC call number
QA241
LC item number
.A33 2010
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1947-
  • 1952-
  • 1944-
http://library.link/vocab/relatedWorkOrContributorName
  • Chudnovsky, D.
  • Chudnovsky, G.
  • Nathanson, Melvyn B.
http://library.link/vocab/subjectName
  • Number theory
  • MATHEMATICS
  • Number theory
  • Algebra
  • Number theory
  • Mathematics
  • Algebra
  • Physical Sciences & Mathematics
  • Mathematics
  • Number Theory
  • Algebra
  • Mathematical Logic and Foundations
Label
Additive number theory : festschrift in honor of the sixtieth birthday of Melvyn B. Nathanson, edited by David Chudnovsky, Gregory Chudnovsky
Instantiates
Publication
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
.-Preface -- Sum-product theorems and applications (Bourgain).-Can you hear the shape of a Beatty sequence? (Graham, O'Bryant).-Variance of signals and their finite Fourier transforms (Chudnovsky, Chudnovsky, Morgan).-Sparse sets in time and frequency related to diophantine problems and integrable systems (Chudnovsky, Chudnovsky, Morgan).-Addition theorems in acyclic semigroups (Cilleruelo, Hamidoune, Serra).-Small sumsets in free products of Z/2Z (Eliahou, Lecouvey).-A combinatorial approach to sums of two squares and related problems (Elsholtz).-A note on Elkin's improvement of Behrend's construction (Green, Wolf).-The postage stamp problem and essential subsets in integer bases (Hegarty).-A universal Stein-Tomas restriction estimate for measures in three dimensions (Iosevich, Roudenko).-The Erdos-Turán problem in infinite groups (Konyagin, Lev).-A tiling problem and the Frobenius number (Labrousse, Ramírez Alfonsín) -- Sumsets and the convex hull (Matolcsi, Ruzsa) -- Explicit constructions of infinite families of MSTD sets (Miller, Scheinerman).-Asymptotics of weighted lattice point counts inside dilating polygons (Nechayeva, Randol) -- Support bases of solutions of a functional equation arising from multiplication of quantum integers and the twin primes conjecture (Nguyen) -- Exponential sums and distinct points on arcs (Rødseth) -- New Vacca-type rational series for Euler's constant g and its "alternating" analog ln 4/p (Sondow) -- Mixed sums of primes and other terms (Sun) -- Classes of permutation polynomials based on cyclotomy and an additive analogue (Zieve)
Control code
676698607
Dimensions
unknown
Extent
1 online resource
Form of item
online
Isbn
9781489981462
Lccn
2010929948
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-68361-4
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-37029-3
Specific material designation
remote
System control number
(OCoLC)676698607
Label
Additive number theory : festschrift in honor of the sixtieth birthday of Melvyn B. Nathanson, edited by David Chudnovsky, Gregory Chudnovsky
Publication
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
.-Preface -- Sum-product theorems and applications (Bourgain).-Can you hear the shape of a Beatty sequence? (Graham, O'Bryant).-Variance of signals and their finite Fourier transforms (Chudnovsky, Chudnovsky, Morgan).-Sparse sets in time and frequency related to diophantine problems and integrable systems (Chudnovsky, Chudnovsky, Morgan).-Addition theorems in acyclic semigroups (Cilleruelo, Hamidoune, Serra).-Small sumsets in free products of Z/2Z (Eliahou, Lecouvey).-A combinatorial approach to sums of two squares and related problems (Elsholtz).-A note on Elkin's improvement of Behrend's construction (Green, Wolf).-The postage stamp problem and essential subsets in integer bases (Hegarty).-A universal Stein-Tomas restriction estimate for measures in three dimensions (Iosevich, Roudenko).-The Erdos-Turán problem in infinite groups (Konyagin, Lev).-A tiling problem and the Frobenius number (Labrousse, Ramírez Alfonsín) -- Sumsets and the convex hull (Matolcsi, Ruzsa) -- Explicit constructions of infinite families of MSTD sets (Miller, Scheinerman).-Asymptotics of weighted lattice point counts inside dilating polygons (Nechayeva, Randol) -- Support bases of solutions of a functional equation arising from multiplication of quantum integers and the twin primes conjecture (Nguyen) -- Exponential sums and distinct points on arcs (Rødseth) -- New Vacca-type rational series for Euler's constant g and its "alternating" analog ln 4/p (Sondow) -- Mixed sums of primes and other terms (Sun) -- Classes of permutation polynomials based on cyclotomy and an additive analogue (Zieve)
Control code
676698607
Dimensions
unknown
Extent
1 online resource
Form of item
online
Isbn
9781489981462
Lccn
2010929948
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-68361-4
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-37029-3
Specific material designation
remote
System control number
(OCoLC)676698607

Subject

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